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68567400 = 233252113463
BaseRepresentation
bin1000001011001…
…00000101101000
311210000120210100
410011210011220
5120023124100
610445345400
71461545646
oct405440550
9153016710
1068567400
1135782780
121ab68260
1311289735
14916c196
156046400
hex4164168

68567400 has 144 divisors (see below), whose sum is σ = 251278560. Its totient is φ = 16617600.

The previous prime is 68567399. The next prime is 68567423. The reversal of 68567400 is 476586.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18069 + ... + 21531.

It is an arithmetic number, because the mean of its divisors is an integer number (1744990).

Almost surely, 268567400 is an apocalyptic number.

68567400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68567400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125639280).

68567400 is an abundant number, since it is smaller than the sum of its proper divisors (182711160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68567400 is a wasteful number, since it uses less digits than its factorization.

68567400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68567400 is about 8280.5434604258. The cubic root of 68567400 is about 409.2976275117.

The spelling of 68567400 in words is "sixty-eight million, five hundred sixty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3463 3960 4950 6600 6926 9900 10389 13852 17315 19800 20778 27704 31167 34630 38093 41556 51945 62334 69260 76186 83112 86575 103890 114279 124668 138520 152372 155835 173150 190465 207780 228558 249336 259725 304744 311670 342837 346300 380930 415560 457116 519450 571395 623340 685674 692600 761860 779175 914232 952325 1038900 1142790 1246680 1371348 1523720 1558350 1714185 1904650 2077800 2285580 2742696 2856975 3116700 3428370 3809300 4571160 5713950 6233400 6856740 7618600 8570925 11427900 13713480 17141850 22855800 34283700 68567400